Dynamical analysis of charged anisotropic spherical star in f(R) gravity

Abstract

We consider a modified gravity theory, \(f(R) = R + \alpha R^n - \tfrac{{\mu ^4 }} {{R^m }}\), in the metric formulation and analyze the contribution of the electromagnetic field on the range of dynamical instability of a star filled with anisotropic matter. The collapse equation is developed by applying conservation on anisotropic matter, Maxwell source and dark source terms arising due to f(R) gravity. A specific perturbation scheme is implemented and it is observed that the inclusion of Maxwell source slows down the collapse and makes the system more stable in Newtonian regime. Also, we make a comparison of our results with the existing literature.